Inequalities for Convex Bodies and Polar Reciprocal Lattices in Rn.
Inequalities for convex sets.
Inequalities for dual affine quermassintegrals.
Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms
We establish some inequalities for general width-integrals of Blaschke-Minkowski homomorphisms. As applications, inequalities for width-integrals of projection bodies are derived.
Inequalities for Hadwiger's Harmonic Quermassintegrals.
Inequalities for inscribed simplex and applications.
Inequalities for lattice constrained planar convex sets.
Inequalities for radial Blaschke-Minkowski homomorphisms
We establish Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.
Inequalities Involving Integrals of Polar-Conjugate Concave Functions.
Inequalities of the Kahane-Khinchin type and sections of -balls
We extend Kahane-Khinchin type inequalities to the case p > -2. As an application we verify the slicing problem for the unit balls of finite-dimensional spaces that embed in , p > -2.
Inequality between sides and diagonals of a space -gon and its integral analog
Infinite Dimensional Polytopes.
Infinite perfekte Dreieckszerlegungen auch für gleichseitige Dreiecke.
Infinite periodic discrete minimal surfaces without self-intersections.
Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space
Inflationary tilings with a similarity structure.
Inhomogeneous extreme forms
G.F. Voronoi (1868–1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a characterization of locally most economic packings is given, but a corresponding result for coverings has been missing. In this paper we bridge the two classical memoirs.By looking at the covering problem from a different perspective, we discover the missing analogue. Instead of trying to find lattices giving economical...
Inner and Outer j-Radii of Convex Bodies in Finite-Dimensional Normed Spaces.
Inner Illumination of Convex Polytopes
Inner Illumination of Convex Polytopes.